Fibonacci-18 Conference Schedule

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1 Fibonacci-18 Conference Schedule Monday, July 2 8:15 Registration opens 8:45 Opening Remarks 9:00 9:25 Christian Ballot: Variations on Catalan Lucasnomials 9:30 9:55 Heiko Harborth: A Conjecture for Pascal s Triangle 10:00 10:30 Coffee Break 10:30 10:55 William Webb: What Makes A Nice Identity? 11:00 11:25 Arthur T. Benjamin: Some Bingo Paradoxes 11:30 11:55 Steven Miller: From Monovariants to Zeckendorf Decompositions and Games 12:00 2:00 Lunch Break Note: For members of the Fibonacci Association Board: 12:00 2:00 Board Meeting & Luncheon Dalhousie University Club 1

2 2 Monday, July 2 Afternoon Session 2:00 2:25 Sadjia Abbad: Companion Sequences Associated to the r-fibonacci Sequence 2:30 2:55 Paul Young: The Power of 2 Dividing a Generalized Fibonacci Number 3:00 3:30 Coffee Break 3:30 3:55 Antara Mukherjee: The Geometric Interpretation of Some Fibonacci Identities in the Hosoya Triangle 4:00 4:25 J. C. Saunders: On (a, b) Pairs in Random Fibonacci Sequences 4:30 4:55 Marc Chamberland: Arctan Formulas and Pi

3 Tuesday, July 3 3 9:00 9:25 Orli Herscovici: 9:30 9:55 Lin Jiu: New Degenerated Bernoulli and Euler Polynomials Arising from Non-Classical Umbral Calculus Bessel Random Walks and Identities for Higher-Order Bernoulli and Euler Polynomials 10:00 10:10 Group Photo Location to be announced 10:10 10:30 Coffee Break 10:30 10:55 Sam Northshield: Re 3 counting the Rationals 11:00 11:25 Larry Ericksen: Properties of Polynomials that Encode Representations 11:30 11:55 Paul K. Stockmeyer: Discovering Fibonacci Numbers, Fibonacci Words, and a Fibonacci Fractal in the Tower of Hanoi 12:00 1:30 Lunch Break

4 4 Tuesday, July 3 Afternoon Session 1:30 1:55 Susanna Spektor: On a ψ 1 -Norm Estimate of Sums of Dependent Random Variables Using Simple Random Walks on Graphs 2:00 2:25 Meliza Contreras González: Counting Independent Sets on Bipolygonal Graphs 2:30 2:55 Thotsaporn Aek Thanatipanonda: Statistics of Domino Tilings on a Rectangular Board 3:00 3:30 Coffee Break 3:30 3:55 Elif Tan: A Note on Conditional Divisibility Sequences 4:00 4:25 Tanay Wakhare: Structural Identities for Multiple Zeta Values 4:30 4:55 Paul Young: Global Series for Zeta Functions

5 Wednesday, July 4 5 9:00 9:55 The Édouard Lucas Memorial Lecture Hugh C. Williams: Mersenne, Fibonacci and Lucas: The Mersenne Prime Story and Beyond 10:00 10:30 Coffee Break 10:30 10:55 Burghard Herrmann: How Integer Sequences Find Their Way Into Areas Outside Pure Mathematics 11:00 11:25 Dale Gerdemann: Images From Zeckendorf and Other Numerical Representations 11:30 11:55 Bruce Boman: Geometric Branching Patterns Based on the p-fibonacci Numbers: Self-Similarity Across Different Degrees of Branching and Multiple Dimensions 12:00 1:30 Lunch Break 1:30 Afternoon Excursion

6 6 Thursday, July 5 9:00 9:25 Peter Anderson: 9:30 9:55 Bir Kafle: More Remarkable Continued Functions Pell Numbers of the Form 2 a + 3 b + 5 c 10:00 10:30 Coffee Break 10:30 10:55 Karyn McLellan: A Problem on Generating Sets Containing Fibonacci Numbers 11:00 11:25 Curtis Cooper: Some Generalized High Order Fibonacci Identities 11:30 11:55 Scott Cameron: A Linear Algebra Problem Related to Legendre Polynomials 12:00 1:30 Lunch Break

7 Thursday, July 5 7 Afternoon Session 1:30 1:55 Steven Edwards: Generalizations of Delannoy Numbers 2:00 2:25 Barry Balof: Selfish Sets, Posets, Tilings and Bijections 2:30 2:55 Michael Allen: A New Combinatorial Interpretation of the Fibonacci Numbers Squared 3:00 3:30 Coffee Break 3:30 3:55 Russell Jay Hendel: Proof and Formulation of a Tagiuri-Generating-Method Conjecture 4:00 4:25 Bob Bastasz: Digital Loop Systems

8 8 Friday, July 6 9:00 9:25 Clark Kimberling: Linear Complementary Equations and Systems 9:30 9:55 Abdullah Al-Shaghay: Irreducibility and Roots of a Class of Polynomials 10:00 10:30 Coffee Break 10:30 10:55 William Webb: Proving Identities In Arbitrary Fields 11:00 11:25 Osman Yürekli: A Pascal-like Triangle From a Special Function 11:30 11:55 Burghard Herrmann: Visibility in a Pure Model of Golden Spiral Phyllotaxis 12:00 1:30 Lunch Break

9 Friday, July 6 9 Afternoon Session 1:30 1:55 Prapanpong Pongsriiam: Fibonacci and Lucas Numbers Which Have Exactly Three Prime Factors and Some Unique Properties of F 18 and L 18 2:00 2:25 Christophe Vignat: Finite Generating Functions for the Sum-of-Digits Sequence 2:30 2:55 Kouichi Nakagawa: Exact Periodicity of Generalized Fibonacci and Tribonacci Sequences 3:00 3:30 Coffee Break 3:30 3:55 Murat Şahin: Fibonacci Numbers and Core Partitions 4:00 4:55 Clark Kimberling (Coordinator): Problem Session 5:00 Closing Remarks

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